Bulletin of the
Korean Mathematical Society BKMS

The purpose of this paper is to give sufficient coefficient conditions for a class of univalent harmonic functions that map each $|z|=r>1$ onto a curve that bounds a domain that is starlike with respect to origin. Furthermore, it is shown that these conditions are also necessary when the coefficients are negative. Extreme points for these classes are also determined. Finally, comparable results are given for the convex analog.

Keywords: harmonic, univalent, starlike, and convex functions

MSC numbers: 30C45, 30C50